# The Rectangular Peg Problem

@article{Greene2020TheRP, title={The Rectangular Peg Problem}, author={Joshua Evan Greene and Andrew Lobb}, journal={arXiv: Geometric Topology}, year={2020} }

For every smooth Jordan curve $\gamma$ and rectangle $R$ in the Euclidean plane, we show that there exists a rectangle similar to $R$ whose vertices lie on $\gamma$. The proof relies on Shevchishin's theorem that the Klein bottle does not admit a smooth Lagrangian embedding in $\mathbb{C}^2$.

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